A computationally efficient method for a class of fractional variational and optimal control problems using fractional gegenbauer functions

A.A. EL-KALAAWY 1, E.H. DOHA2, S.S. EZZ-ELDIEN3, M.A. ABDELKAWY 1,4, R.M. HAFEZ5,6, A.Z.M. AMIN 7, D. BALEANU8,9, M.A. ZAKY 10,* 1Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt 2Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt 3Department of Mathematics, Faculty of Science, Assiut University, New Valley Branch El-Kharja 72511, Egypt 4Department of Mathematics and Statistics, College of Science, Al-Imam Moh ammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia 5Department of Mathematics, Alwagjh University College, University of T abuk, Tabuk, Saudi Arabia 6Department of Basic Science, Institute of Information Technology, Mod ern Academy, Cairo, Egypt 7Department of Basic Science, Institute of Engineering, Canadian Intern ational College (CIC), Giza, Egypt 8Department of Mathematics, Cankaya University, Ankara, Balgat, 065 3 , Turkey 9Institute of Space Sciences, Magurele-Bucharest, Romania 10Department of Applied Mathematics, National Research Centre, Dokki, G iza 12622, Egypt, ∗Corresponding author, Email: ma.zaky@yahoo.com